All we have to do is divide the money she spent on fruit by the total and multiply that by 100.
18÷45
.4×100
40
So, Carmen spent 40% of her money on fruit.
Answer:
BC=74.7
Step-by-step explanation:
AB=15.3
CD=15.3
15.3+15.3=30.6
90-30.6=59.4
BC=74.7
(7) m∠A = 52°
(8) m∠B = 117°
Solution:
(7) Let us first define the supplementary and complementary angles.
Supplementary angles: Two angles are said to be supplementary angles if their sum is add up to 180°
Complementary angles: Two angles are said to be complementary angles if their sum is add up to 90°
Given supplement of 142° = 180° – 142°
= 38°
Complement of ∠A = Supplement of 142°
⇒ Complement of ∠A = 38°
Measure of ∠A = 90° – 38°
= 52°
Hence m∠A = 52°.
(8) Given complement of 27° = 90° – 27°
= 63°
Supplement of ∠B = Complement of 27°
⇒ Supplement of ∠B = 63°
Measure of ∠B = 180° – 63°
= 117°
Hence m∠B = 117°.
X= sandwiches
y= bottles of water
QUANTITY EQUATION
x+y= 200
COST EQUATION
$3x + $0.75y= $318.75
STEP 1
solve for one variable in quantity equation and substitute in cost equation
x+y= 200
subtract y from both sides
x= 200-y
STEP 2
substitute 200-y in for x
$3x + $0.75y= $318.75
3(200-y) + 0.75y= 318.75
600 - 3y + 0.75y= 318.75
combine like terms
600 - 2.25y= 318.75
-2.25y= -281.25
divide both sides by -2.25
y= 125 number of water bottles
STEP 3
substitute y=125 in either equation
x+y= 200
x + 125= 200
x= 75 sandwiches
ANSWER: There were 75 sandwiches and 125 bottles of water.
Hope this helps! :)
